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        Higher Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

        Anilay, Worku Tilahun,Duressa, Gemechis File,Woldaregay, Mesfin Mekuria Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.3

        In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.

      • The exposure rate to hepatitis B and C viruses among medical waste handlers in three government hospitals, southern Ethiopia

        Anteneh Amsalu,Mesfin Worku,Endale Tadesse,Techalew Shimelis 한국역학회 2016 Epidemiology and Health Vol.38 No.-

        OBJECTIVES: The aim of this study was to assess the rate of and risk factors for exposure to hepatitis B virus (HBV) and hepatitis C virus (HCV) among medical waste handlers. METHODS: A cross-sectional study was conducted from December 2014 to January 2015. A total of 152 medical waste handlers (MWH) and 82 non-medical waste handlers (NMWH) were studied. Serum samples were collected from participants and screened for hepatitis B surface antigen (HBsAg), hepatitis B core antibody (anti-HBc) and anti-HCV using rapid immunochromatography assay. MWH were also screened for hepatitis B surface antibody (anti-HBs). RESULTS: The respective prevalence of HBsAg, anti-HBc and anti-HCV was 1.3%, 39.4%, and 0.7% in MWH, compared to 2.4%, 17.1%, and 1.2%, respectively, in NMWH. Among MWH, 58.6% were susceptible to HBV infection. There was a significant difference in the rate of lifetime exposure to HBV in MWH compared with NMWH (odds ratio [OR], 3.17; 95% confidence interval [CI], 1.64 to 6.13). However, there was no significant difference between participant groups with respect to current HBV infection (OR, 0.53; 95%CI, 0.07 to 3.86) or anti-HCV (OR, 0.54; 95%CI, 0.03 to 8.69). Age older than 40 years and working in a hospital laundry were independent predictors of lifetime exposure to HBV infection. Eleven (7.2%) respondents were vaccinated against HBV. CONCLUSIONS: Lifetime exposure to HBV infection was significantly higher in MWH than in NMWH. The majority of MWH was not vaccinated against HBV and thus remains susceptible to contracting the infection. Screening upon hire followed by vaccination of MWH is recommended to reduce the transmission of HBV.

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